Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid

doi:10.1007/s10483-021-2759-5

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (8): 1205-1218.doi: https://doi.org/10.1007/s10483-021-2759-5

• 论文 • 上一篇

Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid

Tiehong ZHAO¹, M. R. KHAN^2,3, Yuming CHU⁴, A. ISSAKHOV^5,6, R. ALI⁷, S. KHAN⁷

1. Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China;
2. LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;
3. School of Mathematical Science, University of Chinese Academy of Sciences, Beijing 100190, China;
4. Department of Mathematics, Huzhou University, Huzhou 313000, Zhejiang Province, China;
5. Department of Mathematical and Computer Modeling, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan;
6. Department of Mathematical and Computer Modeling, Kazakh British-Technical University, Almaty 050000, Kazakhstan;
7. School of Mathematics and Statistics, Central South University, Changsha 410083, China

收稿日期:2020-12-29 修回日期:2021-06-11 发布日期:2021-07-28
通讯作者: M. R. KHAN, E-mail:mrkhan.math@hotmail.com

Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid

Tiehong ZHAO¹, M. R. KHAN^2,3, Yuming CHU⁴, A. ISSAKHOV^5,6, R. ALI⁷, S. KHAN⁷

1. Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China;
2. LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;
3. School of Mathematical Science, University of Chinese Academy of Sciences, Beijing 100190, China;
4. Department of Mathematics, Huzhou University, Huzhou 313000, Zhejiang Province, China;
5. Department of Mathematical and Computer Modeling, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan;
6. Department of Mathematical and Computer Modeling, Kazakh British-Technical University, Almaty 050000, Kazakhstan;
7. School of Mathematics and Statistics, Central South University, Changsha 410083, China

Received:2020-12-29 Revised:2021-06-11 Published:2021-07-28
Contact: M. R. KHAN, E-mail:mrkhan.math@hotmail.com

摘要/Abstract

摘要： This work examines the entropy generation with heat and mass transfer in magnetohydrodynamic (MHD) stagnation point flow across a stretchable surface. The heat transport process is investigated with respect to the viscous dissipation and thermal radiation, whereas the mass transport is observed under the influence of a chemical reaction. The irreversibe factor is measured through the application of the second law of thermodynamics. The established non-linear partial differential equations (PDEs) have been replaced by acceptable ordinary differential equations (ODEs), which are solved numerically via the bvp4c method (built-in package in MATLAB). The numerical analysis of the resulting ODEs is carried out on the different flow parameters, and their effects on the rate of heat transport, friction drag, concentration, and the entropy generation are considered. It is determined that the concentration estimation and the Sherwood number reduce and enhance for higher values of the chemical reaction parameter and the Schmidt number, although the rate of heat transport is increased for the Eckert number and heat generation/absorption parameter, respectively. The entropy generation augments with boosting values of the Brinkman number, and decays with escalating values of both the radiation parameter and the Weissenberg number.

关键词: tangent hyperbolic fluid, magnetohydrodynamic (MHD), viscous dissipation, stagnation point flow, heat generation/absorption, thermal radiation

Abstract: This work examines the entropy generation with heat and mass transfer in magnetohydrodynamic (MHD) stagnation point flow across a stretchable surface. The heat transport process is investigated with respect to the viscous dissipation and thermal radiation, whereas the mass transport is observed under the influence of a chemical reaction. The irreversibe factor is measured through the application of the second law of thermodynamics. The established non-linear partial differential equations (PDEs) have been replaced by acceptable ordinary differential equations (ODEs), which are solved numerically via the bvp4c method (built-in package in MATLAB). The numerical analysis of the resulting ODEs is carried out on the different flow parameters, and their effects on the rate of heat transport, friction drag, concentration, and the entropy generation are considered. It is determined that the concentration estimation and the Sherwood number reduce and enhance for higher values of the chemical reaction parameter and the Schmidt number, although the rate of heat transport is increased for the Eckert number and heat generation/absorption parameter, respectively. The entropy generation augments with boosting values of the Brinkman number, and decays with escalating values of both the radiation parameter and the Weissenberg number.

Key words: tangent hyperbolic fluid, magnetohydrodynamic (MHD), viscous dissipation, stagnation point flow, heat generation/absorption, thermal radiation

中图分类号:

Tiehong ZHAO, M. R. KHAN, Yuming CHU, A. ISSAKHOV, R. ALI, S. KHAN. Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(8): 1205-1218.

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Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid

Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid

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